3x+5=10x-6x+1

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Solution for 3x+5=10x-6x+1 equation:


Simplifying
3x + 5 = 10x + -6x + 1

Reorder the terms:
5 + 3x = 10x + -6x + 1

Reorder the terms:
5 + 3x = 1 + 10x + -6x

Combine like terms: 10x + -6x = 4x
5 + 3x = 1 + 4x

Solving
5 + 3x = 1 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
5 + 3x + -4x = 1 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = 1 + 0
5 + -1x = 1

Add '-5' to each side of the equation.
5 + -5 + -1x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 1 + -5
-1x = 1 + -5

Combine like terms: 1 + -5 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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